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Field name	Details
Dewey Class	516
Title	Symplectic Geometry and Secondary Characteristic Classes ([EBook] /) / by Izu Vaisman.
Author	Vaisman, Izu
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : : Birkhäuser Boston : : Imprint: Birkhäuser, , 1987.
Physical Details	IX, 216 p. : online resource.
Series	Progress in mathematics 0743-1643
ISBN	9781475719604
Summary Note	The present work grew out of a study of the Maslov class (e. g. (37]), which is a fundamental invariant in asymptotic analysis of partial differential equations of quantum physics. One of the many in terpretations of this class was given by F. Kamber and Ph. Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. (In the basic paper of V. I. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre viously. ) Accordingly, we wanted to study the whole range of secondary characteristic classes involved in this interpretation, and we gave a short description of the results in (83]. It turned out that a complete exposition of this theory was rather lengthy, and, moreover, I felt that many potential readers would have to use a lot of scattered references in order to find the necessary information from either symplectic geometry or the theory of the secondary characteristic classes. On the otherhand, both these subjects are of a much larger interest in differential geome try and topology, and in the applications to physical theories.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-1960-4
Links to Related Works	Subject References: Complex manifolds . Geometry . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematical Methods in Physics . Mathematics . Mechanics . Partial differential equations . Physics . Quantum Physics . Authors: Vaisman, Izu . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516 .

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Symplectic Geometry and Secondary Characteristic Classes

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